{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Eyepiece"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class EyepieceErfle(optic.Optic):\n",
    "    \"\"\"Based on USP1479229, Erfle, Heinrich\"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(index=1, radius=np.inf, thickness=15.224, is_stop=True)\n",
    "        self.add_surface(index=2, radius=269.0, thickness=25.1, material=\"L-BSL7\")\n",
    "        self.add_surface(index=3, radius=-125.9, thickness=36.5)\n",
    "        self.add_surface(index=4, radius=93.6, thickness=18.5, material=\"N-BAK2\")\n",
    "        self.add_surface(index=5, radius=-93.6, thickness=4.1, material=\"N-F2\")\n",
    "        self.add_surface(index=6, radius=2550.0, thickness=0.19)\n",
    "        self.add_surface(index=7, radius=93.6, thickness=18.5, material=\"N-BAK2\")\n",
    "        self.add_surface(index=8, radius=-93.6, thickness=4.1, material=\"N-F2\")\n",
    "        self.add_surface(index=9, radius=2550.0, thickness=32.685)\n",
    "        self.add_surface(index=10)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"EPD\", value=4.0)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "        self.add_field(y=14)\n",
    "        self.add_field(y=20)\n",
    "\n",
    "        self.add_wavelength(value=0.4861)\n",
    "        self.add_wavelength(value=0.5876, is_primary=True)\n",
    "        self.add_wavelength(value=0.6563)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens = EyepieceErfle()\n",
    "lens.draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
